Use the drawing tool(s) to form the correct answer on the provided number line.
Paige makes circular clocks with a metal rim and a glass pane.

Due to a supply shortage, Paige needs to limit the amount of metal rims used in making the clocks.

The circumference of a clock must be inches or less.

For a new order purchase, Paige must make clocks with an area inches or larger.

On the number line, graph the possible radii of the clocks that Paige needs to make given the limits. 3-23 on a number line

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.